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GMAT Practice Questions-How Many of 200?

A marketing firm determined that, of 200 households surveyed, 80 used neither brand A or nor brand B soap, 60 used only brand A soap, and for every household that used both brands of soap, 3 used only brand B soap. How many of the 200 households surveyed used both brands of soap?

A. 15

B. 20

C. 30

D. 40

E. 45

Answer- let’s consolidate the information we have;

Total household= 200

Neither A nor B = 80

Brand A only= 60

As mentioned, 80 do not use neither A nor B, therefore

People using Brand A or B = 200-80 = 120

We also know that, for every household that used both brands of soap, 3 used only brand B, so if